129182736400 has 45 divisors (see below), whose sum is σ = 310378795293. Its totient is φ = 51670219200.

The previous prime is 129182736383. The next prime is 129182736401. The reversal of 129182736400 is 4637281921.

The square root of 129182736400 is 359420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46505785104 + 82676951296 = 215652^2 + 287536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129182736401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7179415 + ... + 7197385.

Almost surely, 2^129182736400 is an apocalyptic number.

129182736400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129182736400 is the 359420-th square number.

It is an amenable number.

129182736400 is an abundant number, since it is smaller than the sum of its proper divisors (181196058893).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129182736400 is an frugal number, since it uses more digits than its factorization.

129182736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35960 (or 17978 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 129182736400 in words is "one hundred twenty-nine billion, one hundred eighty-two million, seven hundred thirty-six thousand, four hundred".